Relations between Projected Emittances and Eigenemittances
V.Balandin, W.Decking, N.Golubeva
TL;DR
This paper establishes the precise conditions under which certain emittance values can be realized in beam physics, aiding the design of beam lines for advanced emittance control.
Contribution
It provides necessary and sufficient conditions linking eigenemittances and projected emittances, clarifying design constraints in beam line engineering.
Findings
Derived conditions for realizability of emittance sets
Set limits on beam line design capabilities
Enhances understanding of beam emittance manipulation
Abstract
We give necessary and sufficient conditions that two sets of positive real numbers must satisfy in order to be realizable as eigenemittances and projected emittances of a beam matrix. The information provided by these conditions sets limits on what one can to achieve when designing a beam line to perform advanced emittance manipulations.
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Taxonomy
TopicsParticle accelerators and beam dynamics · Particle Accelerators and Free-Electron Lasers · Gyrotron and Vacuum Electronics Research